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Existence of the primitive Weierstrass gap sequences on curves of genus 9
Authors:Jiryo Komeda
Institution:(1) Department of Mathematics, Kanagawa Institute of Technology, 243-0292 Atsugi, Kanagawa, Japan
Abstract:We show that for any possible Weierstrass gap sequenceL on a curve of genus 9 with twice the smallest positive non-gap > the largest gap there exists a pointed non-singular curve (C, P) over an algebraically closed field of characteristic 0 such that the gap sequence atP isL.
Keywords:non-singular curves  gap sequences  toric varieties  trigonal curves
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